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Scaling properties of one-dimensional off-diagonal disorder

Cheraghchi, H ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1088/1742-5468/2006/11/P11006
  3. Publisher: 2006
  4. Abstract:
  5. Validity of the single-parameter scaling (SPS) in the one-dimensional Anderson model with purely off-diagonal disorder is studied. It is shown that the localized region with standard symmetry is divided into two regimes: SPS and non-SPS. Moreover, the scaling relations for the Lyapunov exponent are proposed for these two regimes. In the non-SPS regime, in addition to the localization length, there exists a new length scale which is related to the integral density of states. A physical interpretation of the new length is as the crossover length which separates regions with chiral symmetry from those with standard symmetry. © 2006 IOP Publishing Ltd and SISSA
  6. Keywords:
  7. Anderson model (theory) ; Disordered systems (theory) ; Finite-size scaling ; Quantum transport in one dimension
  8. Source: Journal of Statistical Mechanics: Theory and Experiment ; Issue 11 , 2006 ; 17425468 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/1742-5468/2006/11/P11006